Jenkins had his wife too. Wives were wanting to finish the
completeness of the quarrel, which existed one memorable Christmas
week, some dozen years ago, between the two neighbours, the two
compositors. And with wives, it was a very pretty, a very complete
quarrel. To make the opposing parties still more equal, still more
well-matched, if the Hodgsons had a baby ("such a baby!—a poor, puny
little thing"), Mrs. Jenkins had a cat ("such a cat! a great, nasty,
miowling tom-cat, that was always stealing the milk put by for little
Angel's supper"). And now, having matched Greek with Greek, I must
proceed to the tug of war. It was the day before Christmas; such a
cold east wind! such an inky sky! such a blue-black look in people's
faces, as they were driven out more than usual, to complete their
purchases for the next day's festival.

What does having matched Greek with Greek mean? Is this some quote or allusion? What is its origin?